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BVP Medical BVP Medical Solved Paper-2003

  • question_answer
    Some chemists at ISRO wished to prepare a saturated solution of a silver compound and they wanted it to have the highest concentration of silver ion possible. Which of the following compounds, would they use? \[{{K}_{sp}}(AgCl)=1.8\times {{10}^{-10}}\] \[{{K}_{sp}}(AgBr)=5.0\times {{10}^{-13}}\] \[{{K}_{sp}}(A{{g}_{2}}Cr{{O}_{4}})=2.4\times {{10}^{-12}}\]

    A)  \[AgCl\]                              

    B)  \[AgBr\]

    C)  \[A{{g}_{2}}Cr{{O}_{4}}\]            

    D)  Any of these

    Correct Answer: C

    Solution :

                    For binary salts (like \[AgCl,AgBr\]), \[s=\sqrt{{{K}_{sp}}}\] \[\therefore \]  solubility of \[AgCl\] \[=\sqrt{1.8\times {{10}^{-10}}}=1.35\times {{10}^{-5}}\] mole/litre solubility of \[AgBr=\sqrt{5.0\times {{10}^{-13}}}\] \[=7.1\times {{10}^{-7}}\]  mole/litre For, \[A{{g}_{2}}Cr{{O}_{4}},\]                 \[{{K}_{sp}}=4{{s}^{3}}\] \[\therefore \]  solubility of \[A{{g}_{2}}Cr{{O}_{4}}\]                 \[=\frac{\sqrt[3]{{{K}_{sp}}}}{4}=\frac{\sqrt[3]{2.4\times {{10}^{-12}}}}{4}\]                 \[\sqrt[3]{600\times {{10}^{-15}}}\] \[=8.44\times {{10}^{-5}}\] mole/litre As  \[A{{g}_{2}}Cr{{O}_{4}}\] has maximum solubility, if will give maximum \[A{{g}^{+}}\]  ions in solution. Hence it will be used.


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